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- Title
ON IMPLICIT SECOND-ORDER PDE OF A SCALAR FUNCTION ON A PLANE VIA DIFFERENTIAL SYSTEMS.
- Authors
NODA, TAKAHIRO; SHIBUYA, KAZUHIRO
- Abstract
In the present paper, we study implicit second-order PDEs (i.e. partial differential equations) of single type for one unknown function of two variables. In particular, by using the theory of differential systems, we give a geometric characterization of PDEs which have a certain singularity. Moreover, we provide a new invariant of PDEs under contact transformations.
- Subjects
SCALAR field theory; EXTERIOR differential systems; MATHEMATICAL variables; TECHNOLOGICAL singularity; SUBMERSIONS (Mathematics); INVARIANT manifolds; CALCULUS of tensors
- Publication
International Journal of Mathematics, 2011, Vol 22, Issue 7, p907
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X11007069